The Riemann-Hilbert approach to the generating function of the higher order Airy point processes - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2021

The Riemann-Hilbert approach to the generating function of the higher order Airy point processes

Sofia Tarricone
  • Fonction : Auteur
  • PersonId : 1089035

Résumé

We prove a Tracy-Widom type formula for the generating function of occupancy numbers on several disjoint intervals of the higher order Airy point processes. The formula is related to a new vector-valued Painlev\'e II hierarchy we define, together with its Lax pair.

Dates et versions

hal-03435385 , version 1 (18-11-2021)

Identifiants

Citer

Mattia Cafasso, Sofia Tarricone. The Riemann-Hilbert approach to the generating function of the higher order Airy point processes. 2021. ⟨hal-03435385⟩
47 Consultations
0 Téléchargements

Altmetric

Partager

More